Aug 12 – 16, 2024
Von-Melle-Park 8
Europe/Berlin timezone

Mathematical background of ESPIRiT: ESPIRiT versus MOCCA

Aug 14, 2024, 11:00 AM
30m
Seminarraum 211 (Von-Melle-Park 8)

Seminarraum 211

Von-Melle-Park 8

Minisymposium Contribution MS 08: Mathematics and Magnetic Resonance Imaging MS 08: Mathematics and Magnetic Resonance Imaging

Speaker

Gerlind Plonka (Universität Göttingen)

Description

Recently, we have proposed a new model-based coil calibration (MOCCA) algorithm to reconstruct the coil sensitivities and the magnetization image from the given (incomplete) measurements. This method employs the assumption that the coil sensitivities are smooth functions which can be represented using bivariate trigonometric polynomials of small degree while the magnetization image is only assumed to be a compactly supported distribution. The MOCCA algorithm provides perfect reconstruction results if the model assumptions are satisfied. Moreover, it has a low computational complexity and fits real MRI data sufficiently well such that it is applicable in practice. In this talk, we present the close connection between the celebrated ESPIRiT algorithm and MOCCA thereby showing that MOCCA provides the mathematical background of ESPIRiT. This new insight provides us the with the opportunity to search for improved sensitivity models which are more appropriate for parallel MRI reconstructions thereby still allowing fast reconstruction procedures.

Author

Gerlind Plonka (Universität Göttingen)

Co-author

Yannick Riebe (Universität Göttingen)

Presentation materials

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